Inelastic collision: A package is dropped onto a moving sled

[GIASAL]

Homework Statement

A sled of mass m1=6 kg is moving at a speed v1=9 m/s.
A package of mass m2=12 kg is dropped from above. What will be the sled's new velocity?
Note that this is a completely inelastic collision.

Relevant Equations

K=1/2 m v^2

I have tried various ways but I can't get a correct result

 

[PeroK]

What quantity is conserved in this scenario?

 

[GIASAL]

I think momentum

 

[PeroK]

What does conservation of (horizontal) momentum give you?

 

[erobz]

I think momentum

And to help you probe your understanding why do you think that is the case i.e. under what conditions is conservation of momentum applicable?

 

[kuruman]

I have tried various ways but I can't get a correct result

How about showing us what you tried so that we can sort out what you don't understand and where your blind spots are?

 

[haruspex]

Note that this is a completely inelastic collision.

So why do you quote
Relevant Equations: K=1/2 m v^2
?
(But you also need to assume the package does not slide off!)

 

[anuttarasammyak]

Inelastic collision means no bounce. The two make one body after collision.
When two clay balls of same mass and opposite velocity collide, they make a big ball at rest. The ball is heated by loss of kinetic energy.